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Claim: At most 64% of people support legalizing gay marriage…. Claim: At most 64% of people support legalizing gay marriage.Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:pH1:p_____________________________________________________________You are performing a two-tailed test with test statistict=-3.13and a sample size of 25. Find the p-value to 4 decimal places.p-value:_____________________________________________________________You are performing a two-tailed test with test statistict=-1.52and a sample size of 98. Find the p-value to 4 decimal places.P-value:____________________________________________________________You are performing a right-tailed test with test statistict=1.92and a sample size of 31. Find the p-value to 4 decimal places.p-value:_____________________________________________________________You are performing a two-tailed test with test statisticz=-0.35, find the p-value to 4 decimal places_____________________________________________________________You are performing a left-tailed test with test statistict=-0.68 and a sample size of 78. Find the p-value to 4 decimal places.p-value:_____________________________________________________________You are performing a two-tailed test with test statistict=-0.28 and a sample size of 30. Find the p-value to 4 decimal places.P-value:_____________________________________________________________You are performing a right-tailed test with test statistict=0.5 and a sample size of 55. Find the p-value to 4 decimal places.p-value:_____________________________________________________________WithHa : p<55% you obtain a test statistic ofz=-1.56. Find the p-value accurate to 4 decimal places.p-value =_____________________________________________________________You are performing a left-tailed test.a=.002, find the critical value, to four decimal places.za=_____________________________________________________________You are performing a right-tailed test.Ifa=.02, find the critical value, to four decimal places.za=_____________________________________________________________Your claim results in the following alternative hypothesis:H1:p> 58% which you test at a significance level ofa=.01.Find the critical value, rounded to four decimal places.za=_____________________________________________________________You are performing a two-tailed test.If a=.10, find the positive critical value, to four decimal places.za/2=_____________________________________________________________You are performing a left-tailed test with a sample size of 92.Ifa=.001 find the critical value, to four decimal places.ta=_____________________________________________________________You are performing a right-tailed test with a sample size of 62.Ifa=.001, find the critical value, to four decimal places.ta=_____________________________________________________________Your claim results in the following alternative hypothesis:H1:?176 which you test at a significance level ofa=.002and a sample size of 22. You do NOT know the population standard deviation,s.Find the positive critical value, rounded to four decimal places.ta/2=_____________________________________________________________You are performing a right-tailed test with a sample size of 36.Ifa=.005, find the critical value, to four decimal places.ta=_____________________________________________________________MathStatistics and Probability STATISTICS 5720

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